Multiple choice

Two shops offer discounts on a particular item having different marked prices. Is the discounted price is lower at the second shop? Statement 1: The first shop's discounted price is 12% lower than its marked price. The second shop's discounted price is 18% lower than its marked price. Statement 2: The first shop's discount is Rs. 720. The second shop's discount is Rs. 900.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. EACH statement ALONE is sufficient.

  5. Statements (1) and (2) TOGETHER are NOT sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement 1 gives percentages but no absolute prices, so we cannot compare the final prices. Statement 2 gives discounts but not the marked prices, so we cannot determine the final prices. Together, we can find the marked prices and then the discounted prices.

AI explanation

Statement 1 only provides the percentage discounts for both shops, which gives no actual values for the prices, so it is not sufficient alone. Statement 2 gives the rupee values of the discounts at both shops, but without the discount percentages, the discounted prices cannot be determined, so it is also not sufficient alone. Using both statements together, the marked price for the first shop is 720 divided by 0.12, equaling Rs. 6000, so its discounted price is 6000 minus 720, equaling Rs. 5280. For the second shop, the marked price is 900 divided by 0.18, equaling Rs. 5000, making its discounted price 5000 minus 900, equaling Rs. 4100, which shows the second shop has the lower price.

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